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Applications of Nonlinear Programming to Packing Problems

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Applications + Practical Conceptualization + Mathematics = fruitful Innovation

Part of the book series: Mathematics for Industry ((MFI,volume 11))

Abstract

The problem of packing items within bounded regions in the Euclidean space has multiple applications in a variety of areas, such as, Physics, Chemistry, and Engineering. Problems of this type exhibit various levels of complexity. Nonlinear programming formulations and methods had been successfully applied to a wide range of packing problems. In this review paper, a brief description of the state-of-the-art and an illustrated overview of packing nonlinear programming techniques and applications will be presented.

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Notes

  1. 1.

    http://www.ime.unicamp.br/~martinez/packmol/.

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Authors and Affiliations

  1. Institute of Mathematics and Statistics, University of São Paulo, Rua do Matão, 1010, Cidade Universitária, São Paulo, SP, 05508-090, Brazil

    Ernesto G. Birgin

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  1. Ernesto G. Birgin
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Correspondence to Ernesto G. Birgin .

Editor information

Editors and Affiliations

  1. CSIRO Computational Informatics, Canberra, Aust Capital Terr, Australia

    Robert S. Anderssen

  2. La Trobe University, Melbourne, Victoria, Australia

    Philip Broadbridge

  3. Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan

    Yasuhide Fukumoto

  4. Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan

    Kenji Kajiwara

  5. Kyushu University, Fukuoka, Japan

    Tsuyoshi Takagi

  6. Leiden University, Leiden, The Netherlands

    Evgeny Verbitskiy

  7. Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan

    Masato Wakayama

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Birgin, E.G. (2016). Applications of Nonlinear Programming to Packing Problems. In: Anderssen, R., et al. Applications + Practical Conceptualization + Mathematics = fruitful Innovation. Mathematics for Industry, vol 11. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55342-7_3

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  • DOI: https://doi.org/10.1007/978-4-431-55342-7_3

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  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-55341-0

  • Online ISBN: 978-4-431-55342-7

  • eBook Packages: EngineeringEngineering (R0)

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